Answer: 12.0 m/s^2
Explanation:
Let \(\alpha\) be the angular acceleration of the end of the rod
Taking torque about the link, we have:
\(\tau = W \times OM\\ or\\ \tau = mg\times \left(\dfrac{L}{2}\right)\sin 55^\circ ....(i)\)
Torque is also given in terms of moment of inertia of the rod and its angular acceleration i.e.
\(\tau = I_{rod}\ \alpha......(ii)\)
From equations (i) and (ii) we have:
\(mg\times \left(\frac{L}{2}\right)\sin 55^\circ = \left(\frac{mL^2}{3}\right)\alpha\ \ \ \ \ \ \ (\because I_{rod} = \dfrac{mL^2}{3}) \\ \\ \alpha = \left(\frac{3g}{2L}\right)\sin 55^\circ\\ \\ \alpha = \left(\frac{3\times 9.8}{2\times 2.4}\right)\sin 55^\circ\\ \\ \boxed{\alpha = 5.02\ rad/s^2} }\)
The acceleration of the end of the rod farthest from the link is given by:
\(a = L\alpha\\ \\ a = (2.4\ m)(5.02\ rad/s^2)\\ \\ \boxed{a = 12.0\ m/s^2}\)
Help me please.
A
B
C
D
I will go to school tomorrow .....is this present tense or past tense or future tense
Answer:
D
Explanation:
The given vector can be broken down into two components (as shown in the figure).
Which results ; vector (s) = 3x + 4y.
In this problem we consider the resonance curve for a circuit with electrical components L, R, and C and resonant frequency omega_0. For given values of R and C, if you double the value of L, how does the new resonance curve differ from the original one? Both the peak height and peak frequency double. The peak height will be half as great, and the peak frequency will double. The peak height won't change, and the peak frequency will be 1/Squareroot 2 times as great. The peak height won't change, and the peak frequency will be half as great. For given values of R and C, if you double the value of L, how does the new rms current at resonance I_rms differ from its original value? Assume that the voltage amplitude of the ac source is the same. I_rms is twice as great. I_rms is half as great. I_rms is 1/Squareroot 2 times as great. I_rms is unchanged.
Doubling the value of L in a resonant circuit with fixed R and C will result in the peak frequency doubling and the peak height being half as great, while the rms current at resonance will be unchanged.
When the value of L is doubled in a circuit with electrical components L, R, and C and resonant frequency omega_0, the new resonance curve differs from the original one in the following way: the peak frequency will double, and the peak height will be half as great.
The new rms current at resonance I_rms will be unchanged since it is only dependent on the voltage amplitude of the ac source and the impedance of the circuit at resonance, which does not change with the value of L. Therefore, the answer is: The peak height will be half as great, and the peak frequency will double. I_rms is unchanged.
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Four wires running through the corners of a square with sides of length 16.166 cm carry equal currents, 3.684 A. Calculate the magnetic field at the center of the square.
For practical reasons, we can consider each side of the square as an infinite wire. This can be seen on the following drawing:
This way, the field on the center will be the sum of the contribution of each wire. We can calculate the contribution of a single wire as:
\(B=\frac{\mu_0i}{2\pi d}=\frac{4\pi *10^{-7}*3.684}{2\pi(\frac{16.166*10^{-2}}{2})}=9.115*10^{-6}T\)Then, the total field will be this, multiplied by the number of wires:
\(B_t=4*9.115*10^{-6}=36.46\mu T\)Then, the resulting field will be Bt=36.46uT
URGENT!!! 50 POINTS NO CHATGPT!
A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water It takes a time of 3.00 s for the boat to travel from its highest point to its lowest, a total distance of 0.650 m
mThe fisherman sees that the wave crests are spaced a horizontal distance of 5.90 m apart
Part A
How fast are the waves traveling?
Express the speed v in meters per second using three significant figures.
What is the amplitude A of each wave?
Express your answer in meters using three significant figures.
Answer:
Part A: \(1.97ms^{-1}\) (2 s.f.)
Part B: 0.33m (2 s.f.)
Explanation:
Part A:
Frequency = \(\frac{1}{period} = \frac{1}{3}\) Hz
Wavespeed = frequency x wavelength
Wavelength = distance between two crests = 5.90
Freq = 1/3 Hz
Therefore: Wavespeed = 1/3 x 5.90
Wavespeed = 1.967 ms^-1
Part B:
Amplitude = \(\frac{peak-to-peak- amplitude }{2}\)
Peak to peak amplitude = 0.65m
Amplitude = 0.65/2 = 0.325m = 0.33m 2sf
What is a hypotenuse?
The longest side of the right angled triangle is known as hypotenuse of the triangle. The right angled triangle can be shown as,
In the diagram, AC is the perpendicular, AB is the base and BC is the hypotenuse.
The arrow strikes a deer in the woods with the speed of 55 m/sec at an angle of 315 degrees. Calculate the Horizontal and vertical components of the arrow’s velocity.
Answer:
100 m
Explanation:
A car slows down uninformly from a speed of 28.0m/s to rest in 8.00s.How far did it travel in that time?
Answer: 112 meters
Explanation:
Use the equation: d = vi+vf/2 x t which turned into: 28/2 times 8 = 112 meters
A child throws a stone into a pond. The stone creates ripples
when it hits the water. These ripples spread across the pond.
The child thinks that a leaf floating on the pond will move to the edge of
the pond with the ripples. Explain whether or not she is correct.
No, the youngster is mistaken. The leaf won't float to the edge of the pond due to the stone's waves.
What do pond ripples result from when a stone is tossed into the water?When a stone is put into a body of water, it creates waves that change in a stunning pattern, radiating outward from a centre that eventually goes still. The growing ring is referred to as a wave packet.
How can throwing a stone into water cause ripples to appear?A circle-shaped pattern of ripples is created on the water's surface when a stone is tossed into stillness. The particles vibrate due to the stone's kinetic energy. The particles in the subsequent layers receive the energy.
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Directions: Read each analogy. Identify the choice that best completes the comparison. 1. square: box :: circle: round circle sphere 2. chauffeur: car :: pilot: airport cockpit jet 3. flower: stem :: tree: leaf trunk root 4. bottom: top :: basement: cellar street attic 5. mend: repair :: break: destroy burn rip 6. December: winter :: September: spring month autumn 7. fade: maid :: true: false new honest 8. graceful: clumsy:: late: morning night early 9. milk: beverage::broccoli: green vegetable bunch 10. puppy: dog :: child: adult boy baby
Chauffeur: car: pilot: cockpit, flower: stem: tree: trunk, bottom: top: basement: attic, mend: repair:: break: fix December: winter; September: fall; fade: maid: graceful: awkward; late: early; true: false; milk: liquid; broccoli: vegetable; canine: puppy; child: adult
What is the most effective method for finding an analogy?You need to choose a word that appropriately completes the second pair in order to resolve the analogy. The words in an analogy may appear to be unrelated to one another at first look, but they are always logically connected. The link between the first and second word pairs is comparable.
How complete is the comparison?In the testing analogies, only the first set of words is provided. Therefore, you must first determine how these two words are related. To complete the analogy, you must select a word or words that have an analogous relationship to the pair.
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A 1600 kg sedan goes through a wide intersection traveling from north to south when it is hit by a 2300 kg SUV traveling from east to west. The two cars become enmeshed due to the impact and slide as one thereafter. On-the-scene measurements show that the coefficient of kinetic friction between the tires of these cars and the pavement is 0.75, and the cars slide to a halt at a point 5.54 m west and 6.19 m south of the impact point. How fast was sedan traveling just before the collision? How fast was SUV traveling just before the collision?
Answer:
Explanation:
momentum of sedan of 1600 kg = 1600x v , where v is its velocity
momentum of suv of 2300 kg = 2300 x u where u is its velocity .
force of friction = ( 1600 + 2300 ) x 9.8 x .75 ( fiction = μ mg )
= 28665 N
distance by which friction acted = √ (5.54² + 6.19²)
= 8.3 m
work done by friction
= 28665 x 8.3
= 237919.5 J
Total kinetic energy of cars = work done by friction
1/2 x 1600 x v² + 1/2 x 2300 u² = 237919.5
16 v² + 23 u² = 4758.4
1600 x v / 2300 u = 6.19 / 5.54
v / u = 1.6
v = 1.6 u
putting this equation in fist equation
40.96 u² + 23 u² = 4758.4
= 63.96 u² = 4758.4
u² = 74.4
u = 8.62 m /s
v = 13.8 m /s
A 15 year old boy requires eyeglasses with lenses of 2 diopters power in order to read a book at 25 cm. Five years later he finds that while wearing the same glasses, he must hold a book 40 cm from his eyes. What power of lenses does he require at 20 years in order to read a book at 25 cm?
At 20 years old, the boy would require eyeglasses with lenses of approximately -1.49 diopters power in order to read a book at 25 cm.
How to solve for the power of lenses1/f1 = 1/v - 1/u1
1/f1 = 1/∞ - 1/0.25 (converting 25 cm to meters)
1/f1 = 0 - 4
1/f1 = -4
f1 = -1/4
f1 = -0.25 meters
The initial lens power (P1) is the reciprocal of the focal length:
P1 = 1/f1
P1 = 1/-0.25
P1 = -4 diopters
Now let's calculate the final focal length (f2) using the final distance (v2) of 40 cm:
1/f2 = 1/v2 - 1/u1
1/f2 = 1/0.40 - 1/0.25
1/f2 = 2.5 - 4
1/f2 = -1.5
f2 = -1/1.5
f2 = -0.67 meters
The final lens power (P2) is the reciprocal of the focal length:
P2 = 1/f2
P2 = 1/-0.67
P2 ≈ -1.49 diopters
Therefore, at 20 years old, the boy would require eyeglasses with lenses of approximately -1.49 diopters power in order to read a book at 25 cm.
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2.
A toy plane's is flying 55° going 8 m/s. If the wind is pushing with a velocity of 3 m/s at 30°,
find the total velocity and direction of plane.
Answer:
Vp = velocity of plane
Vpx = Vp cos 55 = 8 * .57 = 4.59 m/s velocity of plane along x-axis
Vpy = Vp sin 55 = 8 * .82 = 6.55 m/s velocity of plane along y-axis
If Wx = -3 m/s then
Vx = 4.59 - 3 = 1.59 m/s
Vy = 6.55 m/s wind does not affect vertical speed
tan theta = Vy / Vx = 6.55 / 1,59 = 4.12
theta = 76.4 deg above x-axis
V = (1.59^2 + 6.55^2)^1/2 = 6.74 m/s
If an object can make 10 revolutions in two minutes what’s it’s period
Answer:
12\(s^{-1}\)
Explanation:
Period= how long for each revolution
Since we have 10 revolutions in 120 seconds.
120/10=12s
g A frequently quoted rule of thumb in aircraft design is that wings should produce about 1000 N of lift per square meter of wing. (The fact that a wing has a top and bottom surface does not double its area.) a)At takeoff the aircraft travels at 61.1 m/s, so that the air speed relative to the bottom of the wing is 61.1 m/s. Given the sea level density of air to be 1.29 kg/m3, how fast (in m/s) must it move over the upper surface to create the ideal lift
Answer:
The value is \(u = 72.69 \ m/s\)
Explanation:
From the question we are told that
The amount of force a square meter of an aircraft wing should produce is \(F = 1000 \ N\)
The air speed relative to the bottom of the wing is \(v = 61.1 \ m/s\)
The air level density of air is \(\rho_s = 1.29\ kg/m^3\)
Gnerally this force per square meter of an aircraft wing is mathematically represented as
\(F = \frac{1}{2} * \rho_s * A * [ u^2 - v^2 ]\)
Here u is the speed air need to go over the top surface to create the ideal lift
A is the area of a square meter i.e \(A = 1 \ m^2\)
So
\(1000 = \frac{1}{2} * 1.29 * 1 * [ u^2 - 61.1 ^2 ]\)
=> \(u = 72.69 \ m/s\)
Atoms are ___because they have equal amounts of positive and negative charges?
an 8.3 kg mass is attached to a string that has a breaking strength of 1500 N. If the mass is whirled in a horizontal circle of radius 80 cm, what maximum speed can it have?
Answer:
To determine the maximum speed that the 8.3 kg mass can have without breaking the string, we need to consider the tension in the string when it reaches its maximum. At maximum speed, the tension in the string will be equal to the breaking strength of the string.
Given:
Mass (m) = 8.3 kg
Breaking strength of the string (Tension) = 1500 N
Radius of the circle (r) = 80 cm = 0.8 m
The centripetal force required to keep an object moving in a circular path is given by the formula:
F = m * v² / r
Where:
F = Centripetal force
m = Mass
v = Velocity
r = Radius
In this case, the centripetal force is provided by the tension in the string. So we have:
Tension = m * v² / r
Plugging in the values:
1500 N = (8.3 kg) * v² / 0.8 m
To find the maximum speed (v), we can rearrange the equation and solve for it:
v² = (1500 N * 0.8 m) / 8.3 kg
v² ≈ 144.58 m²/s²
v ≈ √(144.58 m²/s²)
v ≈ 12.03 m/s
Therefore, the maximum speed that the 8.3 kg mass can have without breaking the string is approximately 12.03 m/s.
Explanation:
PLEASE HELP
What is the change in internal energy if 80 J of thermal energy is released
from a system, and 30 J of work are done on the system? Use AU = Q-W.
Answer: Delta U = 30 - 80; -50 jules
Explanation:
The system is losing 80 J, but it is also gaining 30 J because the surroundings are doing work on it. So the net change in energy is -50 J
Your son forgets to do his chores before leaving for hockey practice. You scold him later that evening when he returns (which he does NOT enjoy). This is an example of...
The scenario presented is an example of negative punishment.
Negative punishment involves the removal of a desirable stimulus or the addition of an aversive stimulus in response to a behavior, with the goal of decreasing the likelihood of that behavior occurring again in the future.
In this case, the desirable stimulus that was removed is the son's ability to engage in leisure activities like playing hockey, and the aversive stimulus that was added is the scolding from the parent. By experiencing this consequence, the son may be less likely to forget his chores in the future in order to avoid the negative outcome.
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How much work must be done to stop a 900-kg car traveling at 106 km/h?(Hint: You will need to convert the speed first.)Answer: ___________ J (round to the nearest whole number)
The work needed to stop an object is equal to the kinetic energy of the object:
\(K=\frac{1}{2}mv^2\)Write the speed in meters per second using the fact that 1m/s=3.6km/h. Then, the work needed to stop the car is:
\(W=\frac{1}{2}(900kg)\left(106\frac{km}{h}\times\frac{1\frac{m}{s}}{3.6\frac{km}{h}}\right)^2=390,138.88...J\)Therefore, the work that must be done to stop the car is approximately 390,139J.
Part 3: Energy Conversions 7. Record your data in the chart and include at least 5 potential-kinetic energy conversions shown in your device's construction. Example Item Description of potential-kinetic energy conversion Example Book The book had gravitational potential energy when it was on the table. Then as the book fell off the table, it was in motion and had kinetic energy. 1 2 3 4 5
Here are five potential-kinetic energy conversions that could be shown in the construction of a device: Pendulum, Roller Coaster, Wind-up Toy, Elastic Slingshot, Windmill.
Pendulum: A pendulum consists of a weight attached to a string or rod, suspended from a fixed point. When the weight is lifted to a certain height, it possesses gravitational potential energy.
As the weight is released, it swings back and forth, converting the potential energy into kinetic energy. At the highest point of each swing, the weight briefly comes to a stop and has maximum potential energy, which is then converted back to kinetic energy as it swings downward.
Roller Coaster: In a roller coaster, potential-kinetic energy conversions occur throughout the ride. When the coaster is pulled up to the top of the first hill, it gains gravitational potential energy.
As the coaster descends, the potential energy is converted into kinetic energy, resulting in a thrilling and high-speed ride. Subsequent hills and loops continue to convert potential energy into kinetic energy and vice versa as the coaster moves along the track.
Wind-up Toy: Wind-up toys typically have a spring mechanism inside. When the toy is wound up, potential energy is stored in the wound-up spring. As the spring unwinds, it transfers its potential energy into kinetic energy, causing the toy to move or perform actions. The kinetic energy gradually decreases as the spring fully unwinds.
Elastic Slingshot: With an elastic slingshot, potential-kinetic energy conversions are evident when the slingshot is stretched. As the user pulls back on the elastic band, potential energy is stored.
Windmill: Windmills harness the kinetic energy of the wind and convert it into other forms of energy. As the wind blows, it imparts kinetic energy to the blades of the windmill. The rotating blades then transfer this kinetic energy into mechanical energy, which can be used for various purposes such as grinding grains or generating electricity.
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what type of focal length was primarily used in citizen kane?
25mn type of focal length was primarily used in citizen kane.
The focal lengths and lenses used by 19 notable directors are analyzed in a new video essay by Wolfcrow, starting with Orson Welles' use of 25mm for Citizen Kane and 18mm for Touch of Evil.
In Orson Welles' Citizen Kane, deep focus was frequently used to provide the audience with insight into Charles Foster Kane's thoughts or to reveal more about his life. With deep focus, the foreground, middle ground, and backdrop are all sharply in focus at once.
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A wire is joined to points X and Y in the circuit diagram shown. A diagram of a circuit with a power source on the left. Directly above the power source is a dot labeled X and then a circle with an X in it. The circuit then splits with one path straight back to the power source and the other path has 3 circles with X in them labeled 2, 3, and 4 respectively. There is a point labeled Y between circles 2 and 3.A diagram of a circuit with a power source on the left. Directly above the power source is a dot labeled X and then a circle with an X in it. After the x are 4 different circles on the circuit with Xs in them labeled 1, 2, 3, and 4 respectively. There is a point labeled Y in between circles 2 and 3. There is a branch of the circuit from X to Y. How does the circuit change when the wire is added? A closed circuit occurs and makes all bulbs turn off. An open circuit occurs and makes all bulbs turn off. A short circuit occurs and makes bulbs 3 and 4 turn off but keeps bulbs 1 and 2 lit. A short circuit occurs and makes bulbs 1 and 2 turn off but keeps bulbs 3 and 4 lit.
Answer:
c thats the answer yep
Answer:
D.
Explanation:
The wire allows the current to follow the quickest path & will therefore follow the XY wire, restricting the energy source from reaching bulbs 1 and 2 which are beyond that wire.
What is the kinetic energy of a 36N toy car which is moving at 5 m/s?
A power plant burns coal at
830 K, and exhausts to air at
288 K. If it runs at the Carnot
efficiency, how much input heat
must be fed into the plant to
produce 230,000 J of work?
(Unit = J)
The efficiency of an engine is defined as ratio of the useful work done to the heat provided or,
in terms of temperature of the source and the sink the efficiency of heat engine is given by \(1-\frac{T_{2} }{T_{1} }\)
Thus, we have two formulae to calculate the efficiency of a heat engine.
η= \(\frac{useful work done}{heat absorbed}\) ....1
η= \(1-\frac{T_2}{T_1}\) ....2 (where \(T_{2}\) and \(T_{1}\) are temperatures of sink and source respectively)
Given quantities are,
\(T_{1}\) = 830K\(T_1\) =288KWork done = 230000JNow, by equating (1) and (2) equation,
⇒ \(1-\frac{T_2}{T_1}\) = \(\frac{Useful work done}{Heat absorbed}\)
Substituting the given values;
⇒ \(1-\frac{288}{830}\) = \(\frac{230000}{heat absorbed}\)
⇒therefore, heat absorbed = 353846.15 J
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A 4.75 • 105-kg rocket is accelerating straight up. Its engines produce 1.5 • 107 N of thrust, and air resistance is 4.7 • 106 N . find acceleration?
F = m*a
a = F /m
Where:
F= sum of forces
m = mass
a= acceleration
Sum of forces = thrust of the rocket - air resistance = 1.5 x 10^7 N - 4.7x10^6 N = 10,300,000 = 1.03 x 10^7 N
A = 1.03 x 10^7 / 4.75 x 10^5
A = 21.68 m/s^2
a fly enters through an open window and zooms around the room. in a cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point (4.00 m, 1.50 m, 2.50 m) to (1.57 m, 2.7 m, 0.55 m).
In a cartesian coordinate system with three axes along three edges of room, fly changes its position from point (4.00 m, 1.50 m, 2.50 m) to (1.57 m, 2.7 m, 0.55 m), then Displacement vector = -2.43 i + 1.2 j - 1.95 m
What is meant by displacement vector?A geometric object which encodes both displacement and direction is called displacement vector. Displacement vector from one point to another is an arrow with its tail at first point and its tip at second.
Given (4.00 m, 1.50 m, 2.50 m) to (1.57 m, 2.7 m, 0.55 m).
Displacement vector along x axes is 1.57 - 4.00= -2.43 m
Displacement vector along y axes is 2.7 - 1.50 = 1.2 m
Displacement vector along z axis is 0.55- 2.50 = - 1.95 m
Displacement vector is -2.43 i + 1.2 j - 1.95 m.
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Note: The given question on the portal is not incomplete. Here is the complete question.
Question: a fly enters through an open window and zooms around the room. in a cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point (4.00 m, 1.50 m, 2.50 m) to (1.57 m, 2.7 m, 0.55 m). Find the scalar components of the flies displacement vector (in m).
I'm trying to find the potential energy of a planet using formula G M(sun) x m(planet) / r. I have given G - newton's graviational constant at 6.67 × 10−11 m3 kg−1 s−2 , MSun is the mass of the Sun: 1.99 × 1030 kg, m planet is the mass of the planet at 5.97 x 10^24 and r is the distance from the Sun at 147.1 x 10^6 km
Answer:
\(-5.39\times10^{33} J\)
Explanation:
Potential energy =
\(-\frac{GMm}{r}\\=-\frac{6.67\times10^{-11}\times1.99\times10^{30}\times5.97\times10^{24}}{147/1\times10^{9}}\\=-5.39\times10^{33} J\)
Which scientist is credited with having the greatest contribution to early microscopy and was the first to observe and describe single-celled organisms?
Answer:
Antonie van Leeuwenhoek
Explanation:
In adolescence, friendships become less interethnic. Why might this be? Did this hold true for you in adolescence
Answer:
hi-
Explanation:
During the early teenage years, friendships become more intense, close and supportive. The amount that teenagers communicate with their friends increases. Teenage friendships tend to be based on personal similarity, acceptance and sharing. Same gender friendships are most common during the early high school years.
A string of length 75.0cm has fixed ends. Two consecutive harmonics are 420 Hz and 315 Hz. Find the wave speed and the fundamental frequency.
please use equations: f=vλ and λ=\(\frac{2L}{n}\)
The wave speed is 840 cm/s and the fundamental frequency is 1120 Hz.
Frequency is the number of cycles of a periodic waveform that occur per unit of time. It is measured in Hertz (Hz).
We can use the equation λ=2L/n, where λ is the wavelength, L is the length of the string, and n is the harmonic number. Since the string has fixed ends, the harmonics must be odd-numbered, so we have n=1 for the fundamental frequency, n=3 for the second harmonic (315 Hz), and n=5 for the third harmonic (420 Hz).
Using n=1 and λ=2L/n, we get:
λ = 2L/1
λ = 2L
Using n=3 and λ=2L/n, we get:
λ = 2L/3
Using n=5 and λ=2L/n, we get:
λ = 2L/5
We can use the formula f=v/λ to relate the wave speed v, wavelength λ, and frequency f. For the two consecutive harmonics, we can write:
v/λ1 = f1
v/λ2 = f2
Since the two harmonics are consecutive, we can assume that they correspond to adjacent values of n, so we have:
λ1 = 2L/1 = 2L
λ2 = 2L/3
Substituting these values into the above equations and solving for v, we get:
v = f1λ1 = f2λ2 = (420 Hz)(2L) / (2L) = (315 Hz)(2L)/(2L/3) = 840 cm/s
To find the fundamental frequency, we use the formula f=v/λ1:
f = v/λ1 = 840 cm/s / 2L = (840 cm/s) / (0.75 m) = 1120 Hz
Therefore, the wave speed is 840 cm/s and the fundamental frequency is 1120 Hz.
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